Advertisements
Advertisements
Question
Find the value of a, if 8a = 352 – 272
Advertisements
Solution
We have,
8a = 352 – 272
⇒ 8a = (35 + 27)(35 – 27) ...[Using the identity, a2 – b2 = (a + b)(a – b)]
⇒ 8a = 62 × 8
⇒ `a = (62 xx 8)/8`
⇒ a = 62
APPEARS IN
RELATED QUESTIONS
Evaluate the following, using suitable identity
297 × 303
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
9 – 4y2
Using suitable identities, evaluate the following.
(9.7)2 – (0.3)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
3a2b3 – 27a4b
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
28ay2 – 175ax2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
49x2 – 36y2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2/8 - y^2/18`
Factorise the expression and divide them as directed:
(x2 – 22x + 117) ÷ (x – 13)
Verify the following:
(a2 – b2)(a2 + b2) + (b2 – c2)(b2 + c2) + (c2 – a2) + (c2 + a2) = 0
Find the value of a, if pq2a = (4pq + 3q)2 – (4pq – 3q)2
